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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.19898 |
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| _version_ | 1866914554753056768 |
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| author | Reddy, Aidan P. Sheng, D. N. Abouelkomsan, Ahmed Bergholtz, Emil J. Fu, Liang |
| author_facet | Reddy, Aidan P. Sheng, D. N. Abouelkomsan, Ahmed Bergholtz, Emil J. Fu, Liang |
| contents | We show that electron crystals compete closely with non-Abelian fractional Chern insulators in the half-filled second moiré band of twisted bilayer MoTe$_2$. Depending on the twist angle and microscopic model, these crystals can have non-zero or zero Chern numbers $C$. The $C=0$ crystal occurs because contributions to the total Chern number from the full first band (+1) and half-full second band (-1) cancel. This is counterintuitive because the first two non-interacting bands in a given valley have the same Chern number $+1$. For these two reasons, we call this crystal an anti-topological crystal. The anti-topological crystal is a novel type of electron crystal that may occur in systems with multiple Chern bands at filling factors $n>1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19898 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Anti-topological crystal and non-Abelian liquid in twisted semiconductor bilayers Reddy, Aidan P. Sheng, D. N. Abouelkomsan, Ahmed Bergholtz, Emil J. Fu, Liang Mesoscale and Nanoscale Physics We show that electron crystals compete closely with non-Abelian fractional Chern insulators in the half-filled second moiré band of twisted bilayer MoTe$_2$. Depending on the twist angle and microscopic model, these crystals can have non-zero or zero Chern numbers $C$. The $C=0$ crystal occurs because contributions to the total Chern number from the full first band (+1) and half-full second band (-1) cancel. This is counterintuitive because the first two non-interacting bands in a given valley have the same Chern number $+1$. For these two reasons, we call this crystal an anti-topological crystal. The anti-topological crystal is a novel type of electron crystal that may occur in systems with multiple Chern bands at filling factors $n>1$. |
| title | Anti-topological crystal and non-Abelian liquid in twisted semiconductor bilayers |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2411.19898 |